Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
group theory concept |
| gptkbp:definedIn |
gptkb:Frobenius'_theorem
|
| gptkbp:example |
affine group over finite field
dihedral group of order 2n (n odd) |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:firstDescribed |
1895
|
| gptkbp:hasApplication |
representation theory
algebraic combinatorics permutation group theory |
| gptkbp:hasComponent |
gptkb:Frobenius_complement
gptkb:Frobenius_kernel |
| gptkbp:hasProperty |
nontrivial proper subgroup (Frobenius complement)
trivial intersection of conjugates of complement union of conjugates of complement and identity is whole group |
| gptkbp:hasSubfield |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius group
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:order |
product of orders of kernel and complement
|
| gptkbp:studiedIn |
finite group theory
|
| gptkbp:bfsParent |
gptkb:Ferdinand_Georg_Frobenius
gptkb:Group_theory |
| gptkbp:bfsLayer |
5
|